عناصر نظریهٔ توابع بیضوی (ترجمه‌های مونوگرافی‌های ریاضی)

This book contains a systematic presentation of the theory of elliptic functions and some of its applications. A translation from the Russian, this book is intended primarily for engineers who work with elliptic functions. It should be accessible to those with background in the elements of mathematical analysis and the theory of functions contained in approximately the first two years of mathematics and physics courses at the college level. General Theorems On Elliptic Functions -- Modular Functions -- Weierstrass Functions -- Theta Functions -- Jacobi Functions -- Transformation Of Elliptic Functions -- Additional Facts About Elliptic Integrals -- Some Conformal Mappings -- Extremal Properties Of Fractions To Which A Transformation Of Elliptic Functions Reduces -- Generalizaiton Of Tchebycheff Polynomials N.i. Akhiezer ; Translated From The Russian By H.h. Mcfaden ; Translation Edited By Ben Silver. Translation Of: Ėlementy Teorii ėllipticheskikh Funkt︠s︡iĭ. Includes Bibliographical References. Presents the theory of elliptic functions and its applications. Suitable primarily for engineers who work with elliptic functions, this work is also intended for those with background in the elements of mathematical analysis and the theory of functions contained in the first two years of mathematics and physics courses at the college level.